Prob

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members; Location: California; Thanked: 13 times

by heshamelaziry » Wed Nov 04, 2009 6:05 pm

A team has a record of 12 wins and 13 losses for the season. Three games remain. If the probability of winning each remaining game is 1/2, and there are no draws, what is the probability that the team will finish the season with a winning record ?

1/8

1/4

3/8

1/2

5/8

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Source: Beat The GMAT — Problem Solving | Wed Nov 04, 2009 6:05 pm

crackthetest: Senior | Next Rank: 100 Posts; Posts: 40; Joined: Mon Feb 16, 2009 8:50 pm; Thanked: 3 times

ans

by crackthetest » Wed Nov 04, 2009 8:20 pm

1/4

The team needs atleast 2 wins, so the prob is 1/2*1/2.

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members; Location: California; Thanked: 13 times

Re: Prob

by heshamelaziry » Wed Nov 04, 2009 8:37 pm

heshamelaziry wrote:A team has a record of 12 wins and 13 losses for the season. Three games remain. If the probability of winning each remaining game is 1/2, and there are no draws, what is the probability that the team will finish the season with a winning record ?

1/8

1/4

3/8

1/2

5/8

[spoiler]OA 1/8[/spoiler]

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jaspreet_takhar: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Wed Oct 21, 2009 2:17 am; Location: New Delhi; Thanked: 3 times

by jaspreet_takhar » Wed Nov 04, 2009 8:59 pm

The team needs to win the remaining 3 matches to get a score of 15-13..
so , 1/8 is right

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members; Location: California; Thanked: 13 times

by heshamelaziry » Wed Nov 04, 2009 9:24 pm

jaspreet_takhar wrote:The team needs to win the remaining 3 matches to get a score of 15-13..
so , 1/8 is right

But the team only need ttwo wins to be 14-13 ?

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crackgmat007: Legendary Member; Posts: 882; Joined: Fri Feb 20, 2009 2:57 pmFollowed by: 1 member; Thanked: 15 times; GMAT Score:690

by crackgmat007 » Wed Nov 04, 2009 9:52 pm

heshamelaziry wrote:
jaspreet_takhar wrote:The team needs to win the remaining 3 matches to get a score of 15-13..
so , 1/8 is right
But the team only need ttwo wins to be 14-13 ?

What if the last game is lost? It will be a draw. Since theq uestion requires us to calculate the probability that the team will finish the season with a winning record , all three games need to be considered.

Hope it clarifies.

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antondesh: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Tue Aug 18, 2009 9:46 am; Thanked: 4 times

by antondesh » Thu Nov 05, 2009 12:44 pm

Yeah it should be 1/8.

Think about it. The team is has 12 wins, 13 losses. 3 games remain.

If they win 2 and lose 1, their final record will be 14 wins, 14 losses.

So they will need to win of their remaining games. Probablily of that is 1/2 * 1/2 * 1/2 = 1/8.

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